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Finding the Fourth Proportional to 14,331.72, 21,503.74 and 7,411.08

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Solution

The fourth proportional to 14,331.72, 21,503.74 and 7,411.08 is: 11,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.72 : 21,503.74 = 7,411.08 : x
  2. Step 2: Convert to fraction form
    14,331.72/21,503.74 = 7,411.08/x
  3. Step 3: Cross multiply
    14,331.72x = 21,503.74 × 7,411.08
  4. Step 4: Simplify right side
    14,331.72x = 159,365,937.44
  5. Step 5: Solve for x
    x = 159,365,937.44/14,331.72
  6. Step 6: Final answer
    x = 11,119.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.